%0 Journal Article
%T An estimate for solutions to the Schrodinger equation
%A Alexander Makin
%A Bevan Thompson
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X In this note, we find a priori estimates in the $L_2$-norm for solutions to the Schrodinger equation with a parameter. It is shown that a constant occuring in the inequality does not depend on the value of the parameter. In particular, the estimate is valid for eigenfunctions associated with the Schrodinger operator with arbitrary boundary conditions.
%K Schrodinger operator
%K spectral parameter
%K eigenfunction.
%U http://ejde.math.txstate.edu/Volumes/2004/34/abstr.html